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Use Stokes' theorem to evaluate (V × F) · dS where F(x, y, z) = −4yzi + 4xzj +9(x² + y²)zk and S is the • part of the paraboloid z = x² + y² that lies inside the cylinder x² + y² = 1, oriented upward.

Use Stokes' theorem to evaluate (V × F) · dS where F(x, y, z) = −4yzi + 4xzj +9(x² + y²)zk and S is the • part of the paraboloid z = x² + y² that lies inside the cylinder x² + y² = 1, oriented upward.

Algebra & Trigonometry with Analytic Geometry
Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter11: Topics From Analytic Geometry
Section: Chapter Questions
Problem 18T
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Question
Use Stokes' theorem to evaluate (V × F) · dS where F(x, y, z) = −4yzi + 4xzj +9(x² + y²)zk and S is the • part of the paraboloid z = x² + y² that lies inside the cylinder x² + y² = 1, oriented upward.
Transcribed Image Text:Use Stokes' theorem to evaluate (V × F) · dS where F(x, y, z) = −4yzi + 4xzj +9(x² + y²)zk and S is the • part of the paraboloid z = x² + y² that lies inside the cylinder x² + y² = 1, oriented upward.
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